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The effective potential and the renormalisation group

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arxiv hep-lat/9210033 v1 pith:HFIPHROP submitted 1992-10-27 hep-lat hep-ph

C. Ford , D.R.T. Jones , P.W. Stephenson , M.B. Einhorn This is my paper · ORCID
classification hep-lathep-ph
keywords effectivegrouppotentialrenormalisationabsoluteboundcasecontext
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abstract

We discuss renormalisation group improvement of the effective potential both in general and in the context of $O(N)$ scalar $\p^4$ and the Standard Model. In the latter case we find that absolute stability of the electroweak vacuum implies that $m_H\geq 1.95m_t-189~GeV$, for $\as (M_Z) = 0.11$. We point out that the lower bound on $m_H$ {\it decreases\/} if $\as (M_Z)$ is increased.

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